Richard Pink: Catalogue data in Spring Semester 2016 |
Name | Prof. Dr. Richard Pink |
Field | Mathematics |
Address | Professur für Mathematik ETH Zürich, HG G 65.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 06 40 |
richard.pink@math.ethz.ch | |
URL | http://www.math.ethz.ch/~pink |
Department | Mathematics |
Relationship | Full Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-2004-00L | Algebra II | 5 credits | 2V + 2U | R. Pink | |
Abstract | The lectures will cover additional topics in abstract algebra: (1) Galois theory (2) Representation theory of finite groups | ||||
Objective | |||||
Literature | S. Lang, "Algebra" | ||||
401-2200-13L | Representation Theory of Finite Groups Only for Mathematics (and Physics, but not eligible for the Physics Bachelor Programme) Bachelor 4th semester Number of participants limited to 24. | 4 credits | 2S | R. Pink | |
Abstract | -Grundlegende Begriffe aus der Darstellungstheorie -Zerlegung in irreduzible Darstellungen -Charaktertheorie -Berechnung von Charaktertabellen -Anwendungen zur Gruppentheorie, insbesondere Satz von Burnside | ||||
Objective | Methoden und Resultate der Darstellungstheorie. Vortragstechnik. | ||||
Content | Vorläufige Stichwortliste der einzelnen Vorträge: http://www.math.ethz.ch/education/bachelor/seminars/fs2013/dteg/stichworte.pdf | ||||
Literature | Representations and Characters of Groups, Gordon James & Martin Liebeck, Cambridge Verlag. | ||||
Prerequisites / Notice | Das Seminar richtet sich primär an Studierende im 4. Semester, die die Vorlesung Algebra I bei mir besucht haben, unabhängig vom Studiengang. Es steht aber auch anderen offen. In der Vorbesprechung am 16.12.2015 wurde entschieden, das Seminar doppelt anzubieten. Dadurch sind noch Plätze frei; Interessenten mögen sich bitte per email an mich wenden. Jeder Teilnehmende bringt zu seinem Vortrag eine schriftliche Zusammenfassung mit. | ||||
401-5110-00L | Number Theory Seminar | 0 credits | 1K | Ö. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, E. Viada, G. Wüstholz | |
Abstract | Research colloquium | ||||
Objective | Talks on various topics of current research. | ||||
Content | Research seminar in algebra, number theory and geometry. This seminar is aimed in particular to members of the research groups in these areas and their graduate students. | ||||
406-2004-AAL | Algebra II Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. | 5 credits | 11R | R. Pink | |
Abstract | Galois theory and Representations of finite groups, algebras. The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. | ||||
Objective | Introduction to fundamentals of Galois theory, and representation theory of finite groups and algebras | ||||
Content | Fundamentals of Galois theory Representation theory of finite groups and algebras | ||||
Literature | S. Lang, Algebra, Springer Verlag B.L. van der Waerden: Algebra I und II, Springer Verlag I.R. Shafarevich, Basic notions of algebra, Springer verlag G. Mislin: Algebra I, vdf Hochschulverlag U. Stammbach: Algebra, in der Polybuchhandlung erhältlich I. Stewart: Galois Theory, Chapman Hall (2008) G. Wüstholz, Algebra, vieweg-Verlag, 2004 J-P. Serre, Linear representations of finite groups, Springer Verlag | ||||
Prerequisites / Notice | Algebra I | ||||
406-2005-AAL | Algebra I and II Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit. | 12 credits | 26R | R. Pink | |
Abstract | Introduction and development of some basic algebraic structures - groups, rings, fields including Galois theory, representations of finite groups, algebras. The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. | ||||
Objective | |||||
Content | Basic notions and examples of groups; Subgroups, Quotient groups and Homomorphisms, Group actions and applications Basic notions and examples of rings; Ring Homomorphisms, ideals, and quotient rings, rings of fractions Euclidean domains, Principal ideal domains, Unique factorization domains Basic notions and examples of fields; Field extensions, Algebraic extensions, Classical straight edge and compass constructions Fundamentals of Galois theory Representation theory of finite groups and algebras | ||||
Literature | S. Lang, Algebra, Springer Verlag B.L. van der Waerden: Algebra I und II, Springer Verlag I.R. Shafarevich, Basic notions of algebra, Springer verlag G. Mislin: Algebra I, vdf Hochschulverlag U. Stammbach: Algebra, in der Polybuchhandlung erhältlich I. Stewart: Galois Theory, Chapman Hall (2008) G. Wüstholz, Algebra, vieweg-Verlag, 2004 J-P. Serre, Linear representations of finite groups, Springer Verlag |